Instructions

Try your best to answer the questions above. Type your answers into
the boxes provided leaving no spaces. As you work through the exercise regularly click
the "check" button. If you have any wrong answers, do your best to
do corrections but if there is anything you don't understand, please
ask your teacher for help.

When you have
got all of the questions correct you may want to print out this page
and paste it into your exercise book. If you keep your work in an
ePortfolio you could take a screen shot of your answers and paste
that into your Maths file.

Transum.org

This web site
contains over a thousand free mathematical activities for teachers and
pupils. Click here to go to the
main page which links to all of the resources available.

More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.Could we have some on angles too please?"

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Featured Activity

Pentransum

Answer multiple choice questions about basic mathematical ideas. If you get a number of questions correct you will be invited to post a question of your own. The bank of questions grows larger every day.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Go Maths

Learning and
understanding Mathematics, at every level, requires learner
engagement. Mathematics is not a spectator sport. Sometimes
traditional teaching fails to actively involve students. One way to
address the problem is through the use of interactive activities and
this web site provides many of those.
The Go Maths page is
an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Transum,

Tuesday, October 28, 2014

"This is an excellent activity to make pupils think about the structure of a sequence rather than just learning a set of rules. It has worked very successfully for eleven year olds as well as sixteen year olds and is also an activity that can be done by pupils working in pairs. When pupils work with others the conversation about the methods they are using is very revealing."

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world.
Click here to enter your comments.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Curriculum Reference

Sequences

Levels 1 and 2 consist of arithmetic sequences where each term is a fixed amount more than the previous term.

If the first term is a and the fixed amount (common difference) is d then the nth term is:

a + (n−1)d

Level 3 consists of geometric sequences where each term is the the previous term multiplied by a fixed amount.

If the first term is a and the fixed amount (common ratio) is r then the nth term is:

a × rn−1

Level 4 introduces sequences similar to the Fibonacci sequence. Each new term can be calculated by adding previous terms (usually the previous two terms). The original Fibonacci sequence is:

1, 1, 2, 3, 5, 8, 13, 21, 34...

Level 5 is a mixture of sequence questions designed to make the most of your problem solving strategies.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.